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212123 is a prime number
BaseRepresentation
bin110011110010011011
3101202222102
4303302123
523241443
64314015
71542302
oct636233
9352872
10212123
1113540a
12a290b
1375722
1457439
1542cb8
hex33c9b

212123 has 2 divisors, whose sum is σ = 212124. Its totient is φ = 212122.

The previous prime is 212117. The next prime is 212131. The reversal of 212123 is 321212.

It is a happy number.

212123 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 212123 - 28 = 211867 is a prime.

It is a Sophie Germain prime.

It is an alternating number because its digits alternate between even and odd.

It is not a weakly prime, because it can be changed into another prime (212183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106061 + 106062.

It is an arithmetic number, because the mean of its divisors is an integer number (106062).

2212123 is an apocalyptic number.

212123 is a deficient number, since it is larger than the sum of its proper divisors (1).

212123 is an equidigital number, since it uses as much as digits as its factorization.

212123 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24, while the sum is 11.

The square root of 212123 is about 460.5681274252. The cubic root of 212123 is about 59.6388490466.

Adding to 212123 its reverse (321212), we get a palindrome (533335).

It can be divided in two parts, 21212 and 3, that multiplied together give a palindrome (63636).

The spelling of 212123 in words is "two hundred twelve thousand, one hundred twenty-three", and thus it is an iban number.